Dynamical systems is part of systems theory. It is an approach to understand the behavior of complex systems over time. It takes into consideration internal reactions of the system and the delay effects that impact the general behavior of the system, modeling mathematical technique that can be used to understand and analyze complex problems. In Dynamical systems running a simulation involves solving the mathematical equations to get the value of each variable over time in solving problems, there is a need to understand and determine the dynamic response of a physical system that may consist of several components. These efforts involve modeling, analysis, and simulation of physical systems. Typically, creating a prototype system and conducting experimental tests are either infeasible or are too expensive for a preliminary design. Therefore, mathematical modeling, analysis and simulation of physical systems aid the design process immensely. It involves the analysis, desing and control of physical systems that are often composed of interating mechanical and electrical subsystem components. Dynamic system is a huge field. In this thesis we chose a wind turbine as an example of a dynamical system to study it’s behaviours, because of the need of electric power in our life and work require more and more of resources of energy. World energy consumption continues to grow, asking crucial questions about the problem of global warming, due to greenhouse gases, and the upcoming depletion of fossil fuels. Following this realization, environmentally friendly economic development is absolutely necessary. The option of using renewable energies has also taken off around the world, and it remains to be materialized by important and concrete projects. Our study, focuses on one of the renewable energies currently being developed, which is wind energy. As an inexhaustible and free energy source, it is available and plentiful in most regions of the Earth. In addition, more extensive use of wind power would help reduce the demands for fossil fuels, which may run out sometime in this century, Our objective is to study by creating, modeling and simulation under MATLAB / SIMULINK of a wind turbine conversion chain based on a synchronous generator with permanent magnets (SGPM). Simulink, developed by The MathWorks, is a commercial tool for modeling, simulating and analyzing dynamic systems. Its primary interface is a graphical block diagramming tool and a customizable set of block libraries. It offers tight integration with the rest of the MATLAB environment and can either drive MATLAB or be scripted from it. Simulink is widely used in control theory and digital signal processing for simulation and design. It is an environment for simulation and model-based design for dynamic and embedded systems. It provides an interactive graphical environment and a customizable set of block libraries that let you design, simulate, implement, and test a variety of time-varying systems, including communications, controls, signal processing, video processing, and image processing. To complete this study, we adopted the following plan: In the first chapter, we will talk about dynamic systems the most used, their characteristics, and thier equations. In the second chapter we will talk about the wind turbine as model of dynamical systems and a non-exhaustive presentation of the different Conversion Series used in important and small wind turbines,The focus will be on the Series using the synchronous generator with permanent magnets. The third chapter we will introduce the created model of a wind turbine and the simulation techniques using Matlab/Simulink. We explain as well how to model mathematically all components of the conversion chain. In the last chapter, we show simulations by Matlab / Simulink that are based on wind turbine control strategies and the MPPT "Maximum Power Point Tracking" control techniques classes that ensure a better exploitation and a good performance of the wind turbine for all wind speeds.